TSTP Solution File: SYN451-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN451-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:26:50 EDT 2022

% Result   : Unsatisfiable 2.34s 0.69s
% Output   : Refutation 2.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  266
% Syntax   : Number of formulae    :  623 (   1 unt;   0 def)
%            Number of atoms       : 1961 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2307 ( 969   ~;1192   |;   0   &)
%                                         ( 146 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  177 ( 176 usr; 173 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  123 ( 123   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2563,plain,
    $false,
    inference(avatar_sat_refutation,[],[f184,f202,f211,f240,f260,f268,f273,f282,f296,f303,f308,f332,f341,f357,f362,f371,f380,f385,f390,f399,f401,f406,f412,f439,f449,f450,f459,f464,f471,f476,f480,f486,f490,f494,f499,f504,f509,f514,f519,f529,f536,f537,f546,f552,f561,f566,f570,f576,f581,f584,f589,f596,f597,f602,f607,f609,f629,f634,f639,f644,f650,f656,f657,f671,f672,f673,f678,f683,f689,f690,f691,f697,f702,f706,f707,f713,f714,f719,f724,f729,f734,f739,f744,f749,f755,f761,f762,f767,f772,f777,f782,f788,f793,f798,f803,f808,f809,f814,f815,f820,f824,f829,f835,f836,f841,f846,f852,f859,f864,f869,f875,f880,f881,f883,f888,f892,f903,f908,f910,f911,f916,f921,f931,f932,f940,f971,f999,f1038,f1076,f1085,f1086,f1112,f1114,f1121,f1123,f1133,f1134,f1159,f1165,f1178,f1180,f1181,f1201,f1247,f1248,f1279,f1296,f1317,f1319,f1336,f1341,f1342,f1375,f1390,f1397,f1432,f1452,f1454,f1457,f1464,f1500,f1576,f1577,f1615,f1645,f1646,f1648,f1667,f1704,f1706,f1791,f1795,f1831,f1845,f1849,f1876,f1908,f1926,f1967,f2081,f2083,f2168,f2169,f2170,f2171,f2223,f2260,f2261,f2263,f2406,f2435,f2436,f2438,f2466,f2507,f2512,f2535,f2537,f2561,f2562]) ).

fof(f2562,plain,
    ( spl0_165
    | spl0_106
    | ~ spl0_18
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2560,f885,f249,f668,f1162]) ).

fof(f1162,plain,
    ( spl0_165
  <=> c0_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f668,plain,
    ( spl0_106
  <=> c2_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f249,plain,
    ( spl0_18
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f885,plain,
    ( spl0_144
  <=> c1_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2560,plain,
    ( c2_1(a731)
    | c0_1(a731)
    | ~ spl0_18
    | ~ spl0_144 ),
    inference(resolution,[],[f250,f887]) ).

fof(f887,plain,
    ( c1_1(a731)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f250,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f2561,plain,
    ( spl0_127
    | spl0_172
    | ~ spl0_18
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2559,f900,f249,f1417,f785]) ).

fof(f785,plain,
    ( spl0_127
  <=> c0_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1417,plain,
    ( spl0_172
  <=> c2_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f900,plain,
    ( spl0_147
  <=> c1_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2559,plain,
    ( c2_1(a734)
    | c0_1(a734)
    | ~ spl0_18
    | ~ spl0_147 ),
    inference(resolution,[],[f250,f902]) ).

fof(f902,plain,
    ( c1_1(a734)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f2537,plain,
    ( ~ spl0_135
    | ~ spl0_167
    | ~ spl0_29
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2517,f746,f298,f1255,f832]) ).

fof(f832,plain,
    ( spl0_135
  <=> c0_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1255,plain,
    ( spl0_167
  <=> c1_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f298,plain,
    ( spl0_29
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f746,plain,
    ( spl0_120
  <=> c3_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2517,plain,
    ( ~ c1_1(a729)
    | ~ c0_1(a729)
    | ~ spl0_29
    | ~ spl0_120 ),
    inference(resolution,[],[f299,f748]) ).

fof(f748,plain,
    ( c3_1(a729)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f299,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f2535,plain,
    ( ~ spl0_144
    | ~ spl0_165
    | ~ spl0_29
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2530,f675,f298,f1162,f885]) ).

fof(f675,plain,
    ( spl0_107
  <=> c3_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2530,plain,
    ( ~ c0_1(a731)
    | ~ c1_1(a731)
    | ~ spl0_29
    | ~ spl0_107 ),
    inference(resolution,[],[f299,f677]) ).

fof(f677,plain,
    ( c3_1(a731)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f2512,plain,
    ( ~ spl0_163
    | spl0_122
    | ~ spl0_79
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2396,f817,f531,f758,f1073]) ).

fof(f1073,plain,
    ( spl0_163
  <=> c1_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f758,plain,
    ( spl0_122
  <=> c0_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f531,plain,
    ( spl0_79
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f817,plain,
    ( spl0_133
  <=> c3_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2396,plain,
    ( c0_1(a735)
    | ~ c1_1(a735)
    | ~ spl0_79
    | ~ spl0_133 ),
    inference(resolution,[],[f532,f819]) ).

fof(f819,plain,
    ( c3_1(a735)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f532,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f2507,plain,
    ( spl0_8
    | spl0_169
    | ~ spl0_54
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2504,f890,f409,f1338,f208]) ).

fof(f208,plain,
    ( spl0_8
  <=> c1_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1338,plain,
    ( spl0_169
  <=> c2_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f409,plain,
    ( spl0_54
  <=> c3_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f890,plain,
    ( spl0_145
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2504,plain,
    ( c2_1(a730)
    | c1_1(a730)
    | ~ spl0_54
    | ~ spl0_145 ),
    inference(resolution,[],[f891,f411]) ).

fof(f411,plain,
    ( c3_1(a730)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f891,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f2466,plain,
    ( spl0_8
    | ~ spl0_54
    | ~ spl0_43
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2465,f1338,f355,f409,f208]) ).

fof(f355,plain,
    ( spl0_43
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2465,plain,
    ( ~ c3_1(a730)
    | c1_1(a730)
    | ~ spl0_43
    | ~ spl0_169 ),
    inference(resolution,[],[f1340,f356]) ).

fof(f356,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f1340,plain,
    ( c2_1(a730)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1338]) ).

fof(f2438,plain,
    ( spl0_121
    | spl0_171
    | ~ spl0_98
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2421,f779,f627,f1394,f752]) ).

fof(f752,plain,
    ( spl0_121
  <=> c0_1(a766) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1394,plain,
    ( spl0_171
  <=> c3_1(a766) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f627,plain,
    ( spl0_98
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f779,plain,
    ( spl0_126
  <=> c1_1(a766) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2421,plain,
    ( c3_1(a766)
    | c0_1(a766)
    | ~ spl0_98
    | ~ spl0_126 ),
    inference(resolution,[],[f628,f781]) ).

fof(f781,plain,
    ( c1_1(a766)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f628,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f2436,plain,
    ( spl0_125
    | spl0_115
    | ~ spl0_98
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2419,f1068,f627,f721,f774]) ).

fof(f774,plain,
    ( spl0_125
  <=> c3_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f721,plain,
    ( spl0_115
  <=> c0_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1068,plain,
    ( spl0_162
  <=> c1_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2419,plain,
    ( c0_1(a777)
    | c3_1(a777)
    | ~ spl0_98
    | ~ spl0_162 ),
    inference(resolution,[],[f628,f1070]) ).

fof(f1070,plain,
    ( c1_1(a777)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f2435,plain,
    ( spl0_114
    | spl0_67
    | ~ spl0_98
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2433,f928,f627,f473,f716]) ).

fof(f716,plain,
    ( spl0_114
  <=> c0_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f473,plain,
    ( spl0_67
  <=> c3_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f928,plain,
    ( spl0_150
  <=> c1_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2433,plain,
    ( c3_1(a732)
    | c0_1(a732)
    | ~ spl0_98
    | ~ spl0_150 ),
    inference(resolution,[],[f628,f930]) ).

fof(f930,plain,
    ( c1_1(a732)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f2406,plain,
    ( spl0_121
    | ~ spl0_126
    | ~ spl0_79
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2388,f1394,f531,f779,f752]) ).

fof(f2388,plain,
    ( ~ c1_1(a766)
    | c0_1(a766)
    | ~ spl0_79
    | ~ spl0_171 ),
    inference(resolution,[],[f532,f1396]) ).

fof(f1396,plain,
    ( c3_1(a766)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f2263,plain,
    ( ~ spl0_76
    | spl0_151
    | ~ spl0_39
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2238,f437,f338,f936,f516]) ).

fof(f516,plain,
    ( spl0_76
  <=> c0_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f936,plain,
    ( spl0_151
  <=> c1_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f338,plain,
    ( spl0_39
  <=> c2_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f437,plain,
    ( spl0_60
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2238,plain,
    ( c1_1(a764)
    | ~ c0_1(a764)
    | ~ spl0_39
    | ~ spl0_60 ),
    inference(resolution,[],[f438,f340]) ).

fof(f340,plain,
    ( c2_1(a764)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f438,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f2261,plain,
    ( spl0_33
    | ~ spl0_43
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1989,f568,f355,f315]) ).

fof(f315,plain,
    ( spl0_33
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f568,plain,
    ( spl0_87
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1989,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_43
    | ~ spl0_87 ),
    inference(duplicate_literal_removal,[],[f1974]) ).

fof(f1974,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_43
    | ~ spl0_87 ),
    inference(resolution,[],[f356,f569]) ).

fof(f569,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f2260,plain,
    ( spl0_143
    | spl0_81
    | ~ spl0_87
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2201,f905,f568,f539,f877]) ).

fof(f877,plain,
    ( spl0_143
  <=> c1_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f539,plain,
    ( spl0_81
  <=> c0_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f905,plain,
    ( spl0_148
  <=> c2_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2201,plain,
    ( c0_1(a748)
    | c1_1(a748)
    | ~ spl0_87
    | spl0_148 ),
    inference(resolution,[],[f907,f569]) ).

fof(f907,plain,
    ( ~ c2_1(a748)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f2223,plain,
    ( spl0_127
    | spl0_69
    | ~ spl0_30
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2220,f1417,f301,f483,f785]) ).

fof(f483,plain,
    ( spl0_69
  <=> c3_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f301,plain,
    ( spl0_30
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2220,plain,
    ( c3_1(a734)
    | c0_1(a734)
    | ~ spl0_30
    | ~ spl0_172 ),
    inference(resolution,[],[f302,f1419]) ).

fof(f1419,plain,
    ( c2_1(a734)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1417]) ).

fof(f302,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f2171,plain,
    ( spl0_128
    | ~ spl0_45
    | ~ spl0_43
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2028,f1387,f355,f364,f790]) ).

fof(f790,plain,
    ( spl0_128
  <=> c1_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f364,plain,
    ( spl0_45
  <=> c3_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1387,plain,
    ( spl0_170
  <=> c2_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2028,plain,
    ( ~ c3_1(a744)
    | c1_1(a744)
    | ~ spl0_43
    | ~ spl0_170 ),
    inference(resolution,[],[f1389,f356]) ).

fof(f1389,plain,
    ( c2_1(a744)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f2170,plain,
    ( spl0_131
    | ~ spl0_119
    | ~ spl0_43
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2089,f795,f355,f741,f805]) ).

fof(f805,plain,
    ( spl0_131
  <=> c1_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f741,plain,
    ( spl0_119
  <=> c3_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f795,plain,
    ( spl0_129
  <=> c2_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2089,plain,
    ( ~ c3_1(a759)
    | c1_1(a759)
    | ~ spl0_43
    | ~ spl0_129 ),
    inference(resolution,[],[f797,f356]) ).

fof(f797,plain,
    ( c2_1(a759)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f2169,plain,
    ( ~ spl0_166
    | ~ spl0_119
    | ~ spl0_36
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2090,f795,f326,f741,f1214]) ).

fof(f1214,plain,
    ( spl0_166
  <=> c0_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f326,plain,
    ( spl0_36
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2090,plain,
    ( ~ c3_1(a759)
    | ~ c0_1(a759)
    | ~ spl0_36
    | ~ spl0_129 ),
    inference(resolution,[],[f797,f327]) ).

fof(f327,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f2168,plain,
    ( spl0_20
    | spl0_136
    | ~ spl0_74
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2164,f948,f506,f838,f257]) ).

fof(f257,plain,
    ( spl0_20
  <=> c1_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f838,plain,
    ( spl0_136
  <=> c0_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f506,plain,
    ( spl0_74
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f948,plain,
    ( spl0_152
  <=> c2_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2164,plain,
    ( c0_1(a749)
    | c1_1(a749)
    | ~ spl0_74
    | ~ spl0_152 ),
    inference(resolution,[],[f507,f950]) ).

fof(f950,plain,
    ( c2_1(a749)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f507,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f2083,plain,
    ( spl0_130
    | spl0_168
    | spl0_85
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1799,f568,f558,f1304,f800]) ).

fof(f800,plain,
    ( spl0_130
  <=> c1_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1304,plain,
    ( spl0_168
  <=> c0_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f558,plain,
    ( spl0_85
  <=> c2_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1799,plain,
    ( c0_1(a797)
    | c1_1(a797)
    | spl0_85
    | ~ spl0_87 ),
    inference(resolution,[],[f560,f569]) ).

fof(f560,plain,
    ( ~ c2_1(a797)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f2081,plain,
    ( spl0_136
    | spl0_20
    | ~ spl0_87
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1884,f948,f568,f257,f838]) ).

fof(f1884,plain,
    ( c1_1(a749)
    | c0_1(a749)
    | ~ spl0_87
    | spl0_152 ),
    inference(resolution,[],[f949,f569]) ).

fof(f949,plain,
    ( ~ c2_1(a749)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f1967,plain,
    ( spl0_8
    | spl0_169
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1964,f461,f347,f1338,f208]) ).

fof(f347,plain,
    ( spl0_41
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f461,plain,
    ( spl0_65
  <=> c0_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1964,plain,
    ( c2_1(a730)
    | c1_1(a730)
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(resolution,[],[f348,f463]) ).

fof(f463,plain,
    ( c0_1(a730)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f348,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1926,plain,
    ( spl0_31
    | spl0_78
    | ~ spl0_68
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1925,f953,f478,f526,f305]) ).

fof(f305,plain,
    ( spl0_31
  <=> c2_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f526,plain,
    ( spl0_78
  <=> c3_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f478,plain,
    ( spl0_68
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f953,plain,
    ( spl0_153
  <=> c0_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1925,plain,
    ( c3_1(a775)
    | c2_1(a775)
    | ~ spl0_68
    | ~ spl0_153 ),
    inference(resolution,[],[f955,f479]) ).

fof(f479,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f955,plain,
    ( c0_1(a775)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f1908,plain,
    ( ~ spl0_54
    | ~ spl0_65
    | ~ spl0_36
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1907,f1338,f326,f461,f409]) ).

fof(f1907,plain,
    ( ~ c0_1(a730)
    | ~ c3_1(a730)
    | ~ spl0_36
    | ~ spl0_169 ),
    inference(resolution,[],[f1340,f327]) ).

fof(f1876,plain,
    ( spl0_173
    | spl0_86
    | ~ spl0_30
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1866,f866,f301,f563,f1461]) ).

fof(f1461,plain,
    ( spl0_173
  <=> c0_1(a755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f563,plain,
    ( spl0_86
  <=> c3_1(a755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f866,plain,
    ( spl0_141
  <=> c2_1(a755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1866,plain,
    ( c3_1(a755)
    | c0_1(a755)
    | ~ spl0_30
    | ~ spl0_141 ),
    inference(resolution,[],[f302,f868]) ).

fof(f868,plain,
    ( c2_1(a755)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f1849,plain,
    ( spl0_78
    | spl0_153
    | spl0_31
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1839,f709,f305,f953,f526]) ).

fof(f709,plain,
    ( spl0_113
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1839,plain,
    ( c0_1(a775)
    | c3_1(a775)
    | spl0_31
    | ~ spl0_113 ),
    inference(resolution,[],[f710,f307]) ).

fof(f307,plain,
    ( ~ c2_1(a775)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f710,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f1845,plain,
    ( spl0_114
    | spl0_67
    | spl0_108
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1844,f709,f680,f473,f716]) ).

fof(f680,plain,
    ( spl0_108
  <=> c2_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1844,plain,
    ( c3_1(a732)
    | c0_1(a732)
    | spl0_108
    | ~ spl0_113 ),
    inference(resolution,[],[f710,f682]) ).

fof(f682,plain,
    ( ~ c2_1(a732)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f1831,plain,
    ( ~ spl0_165
    | spl0_106
    | ~ spl0_107
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1826,f704,f675,f668,f1162]) ).

fof(f704,plain,
    ( spl0_112
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1826,plain,
    ( c2_1(a731)
    | ~ c0_1(a731)
    | ~ spl0_107
    | ~ spl0_112 ),
    inference(resolution,[],[f705,f677]) ).

fof(f705,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f1795,plain,
    ( ~ spl0_126
    | ~ spl0_171
    | ~ spl0_75
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1781,f594,f511,f1394,f779]) ).

fof(f511,plain,
    ( spl0_75
  <=> c2_1(a766) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f594,plain,
    ( spl0_92
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1781,plain,
    ( ~ c3_1(a766)
    | ~ c1_1(a766)
    | ~ spl0_75
    | ~ spl0_92 ),
    inference(resolution,[],[f595,f513]) ).

fof(f513,plain,
    ( c2_1(a766)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f595,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1791,plain,
    ( ~ spl0_163
    | ~ spl0_133
    | ~ spl0_92
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1787,f736,f594,f817,f1073]) ).

fof(f736,plain,
    ( spl0_118
  <=> c2_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1787,plain,
    ( ~ c3_1(a735)
    | ~ c1_1(a735)
    | ~ spl0_92
    | ~ spl0_118 ),
    inference(resolution,[],[f595,f738]) ).

fof(f738,plain,
    ( c2_1(a735)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f1706,plain,
    ( ~ spl0_157
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1677,f686,f298,f289,f1007]) ).

fof(f1007,plain,
    ( spl0_157
  <=> c1_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f289,plain,
    ( spl0_27
  <=> c0_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f686,plain,
    ( spl0_109
  <=> c3_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1677,plain,
    ( ~ c0_1(a793)
    | ~ c1_1(a793)
    | ~ spl0_29
    | ~ spl0_109 ),
    inference(resolution,[],[f299,f688]) ).

fof(f688,plain,
    ( c3_1(a793)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f1704,plain,
    ( spl0_166
    | spl0_131
    | ~ spl0_33
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1655,f741,f315,f805,f1214]) ).

fof(f1655,plain,
    ( c1_1(a759)
    | c0_1(a759)
    | ~ spl0_33
    | ~ spl0_119 ),
    inference(resolution,[],[f743,f316]) ).

fof(f316,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f743,plain,
    ( c3_1(a759)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f1667,plain,
    ( ~ spl0_6
    | spl0_101
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1661,f382,f321,f641,f199]) ).

fof(f199,plain,
    ( spl0_6
  <=> c0_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f641,plain,
    ( spl0_101
  <=> c2_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f321,plain,
    ( spl0_35
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f382,plain,
    ( spl0_49
  <=> c1_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1661,plain,
    ( c2_1(a763)
    | ~ c0_1(a763)
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(resolution,[],[f322,f384]) ).

fof(f384,plain,
    ( c1_1(a763)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f322,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f1648,plain,
    ( spl0_128
    | spl0_142
    | ~ spl0_33
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1520,f364,f315,f872,f790]) ).

fof(f872,plain,
    ( spl0_142
  <=> c0_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1520,plain,
    ( c0_1(a744)
    | c1_1(a744)
    | ~ spl0_33
    | ~ spl0_45 ),
    inference(resolution,[],[f316,f366]) ).

fof(f366,plain,
    ( c3_1(a744)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f1646,plain,
    ( spl0_167
    | ~ spl0_120
    | ~ spl0_43
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1598,f468,f355,f746,f1255]) ).

fof(f468,plain,
    ( spl0_66
  <=> c2_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1598,plain,
    ( ~ c3_1(a729)
    | c1_1(a729)
    | ~ spl0_43
    | ~ spl0_66 ),
    inference(resolution,[],[f356,f470]) ).

fof(f470,plain,
    ( c2_1(a729)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f1645,plain,
    ( ~ spl0_135
    | ~ spl0_167
    | ~ spl0_17
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1633,f468,f246,f1255,f832]) ).

fof(f246,plain,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1633,plain,
    ( ~ c1_1(a729)
    | ~ c0_1(a729)
    | ~ spl0_17
    | ~ spl0_66 ),
    inference(resolution,[],[f247,f470]) ).

fof(f247,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f1615,plain,
    ( spl0_102
    | spl0_90
    | ~ spl0_44
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1614,f478,f359,f586,f647]) ).

fof(f647,plain,
    ( spl0_102
  <=> c3_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f586,plain,
    ( spl0_90
  <=> c2_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f359,plain,
    ( spl0_44
  <=> c0_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1614,plain,
    ( c2_1(a802)
    | c3_1(a802)
    | ~ spl0_44
    | ~ spl0_68 ),
    inference(resolution,[],[f361,f479]) ).

fof(f361,plain,
    ( c0_1(a802)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f1577,plain,
    ( spl0_99
    | spl0_100
    | ~ spl0_70
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1564,f849,f488,f636,f631]) ).

fof(f631,plain,
    ( spl0_99
  <=> c3_1(a779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f636,plain,
    ( spl0_100
  <=> c1_1(a779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f488,plain,
    ( spl0_70
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f849,plain,
    ( spl0_138
  <=> c2_1(a779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1564,plain,
    ( c1_1(a779)
    | c3_1(a779)
    | ~ spl0_70
    | ~ spl0_138 ),
    inference(resolution,[],[f489,f851]) ).

fof(f851,plain,
    ( c2_1(a779)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f489,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f1576,plain,
    ( spl0_151
    | spl0_94
    | ~ spl0_39
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1568,f488,f338,f604,f936]) ).

fof(f604,plain,
    ( spl0_94
  <=> c3_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1568,plain,
    ( c3_1(a764)
    | c1_1(a764)
    | ~ spl0_39
    | ~ spl0_70 ),
    inference(resolution,[],[f489,f340]) ).

fof(f1500,plain,
    ( spl0_115
    | spl0_162
    | ~ spl0_15
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1499,f774,f238,f1068,f721]) ).

fof(f238,plain,
    ( spl0_15
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1499,plain,
    ( c1_1(a777)
    | c0_1(a777)
    | ~ spl0_15
    | spl0_125 ),
    inference(resolution,[],[f776,f239]) ).

fof(f239,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f776,plain,
    ( ~ c3_1(a777)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f1464,plain,
    ( ~ spl0_173
    | spl0_86
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1458,f266,f181,f563,f1461]) ).

fof(f181,plain,
    ( spl0_2
  <=> c1_1(a755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f266,plain,
    ( spl0_22
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1458,plain,
    ( c3_1(a755)
    | ~ c0_1(a755)
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(resolution,[],[f183,f267]) ).

fof(f267,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f183,plain,
    ( c1_1(a755)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f1457,plain,
    ( spl0_24
    | spl0_53
    | ~ spl0_18
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1427,f764,f249,f403,f275]) ).

fof(f275,plain,
    ( spl0_24
  <=> c0_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f403,plain,
    ( spl0_53
  <=> c2_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f764,plain,
    ( spl0_123
  <=> c1_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1427,plain,
    ( c2_1(a738)
    | c0_1(a738)
    | ~ spl0_18
    | ~ spl0_123 ),
    inference(resolution,[],[f250,f766]) ).

fof(f766,plain,
    ( c1_1(a738)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f1454,plain,
    ( spl0_153
    | spl0_31
    | ~ spl0_18
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1423,f387,f249,f305,f953]) ).

fof(f387,plain,
    ( spl0_50
  <=> c1_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1423,plain,
    ( c2_1(a775)
    | c0_1(a775)
    | ~ spl0_18
    | ~ spl0_50 ),
    inference(resolution,[],[f250,f389]) ).

fof(f389,plain,
    ( c1_1(a775)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f1452,plain,
    ( spl0_94
    | ~ spl0_76
    | ~ spl0_22
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1443,f936,f266,f516,f604]) ).

fof(f1443,plain,
    ( ~ c0_1(a764)
    | c3_1(a764)
    | ~ spl0_22
    | ~ spl0_151 ),
    inference(resolution,[],[f267,f937]) ).

fof(f937,plain,
    ( c1_1(a764)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f1432,plain,
    ( spl0_114
    | spl0_108
    | ~ spl0_18
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1431,f928,f249,f680,f716]) ).

fof(f1431,plain,
    ( c2_1(a732)
    | c0_1(a732)
    | ~ spl0_18
    | ~ spl0_150 ),
    inference(resolution,[],[f250,f930]) ).

fof(f1397,plain,
    ( spl0_121
    | spl0_171
    | ~ spl0_30
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1392,f511,f301,f1394,f752]) ).

fof(f1392,plain,
    ( c3_1(a766)
    | c0_1(a766)
    | ~ spl0_30
    | ~ spl0_75 ),
    inference(resolution,[],[f513,f302]) ).

fof(f1390,plain,
    ( spl0_142
    | spl0_170
    | ~ spl0_13
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1385,f364,f231,f1387,f872]) ).

fof(f231,plain,
    ( spl0_13
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1385,plain,
    ( c2_1(a744)
    | c0_1(a744)
    | ~ spl0_13
    | ~ spl0_45 ),
    inference(resolution,[],[f366,f232]) ).

fof(f232,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f1375,plain,
    ( ~ spl0_135
    | ~ spl0_120
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1360,f468,f326,f746,f832]) ).

fof(f1360,plain,
    ( ~ c3_1(a729)
    | ~ c0_1(a729)
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(resolution,[],[f327,f470]) ).

fof(f1342,plain,
    ( ~ spl0_168
    | spl0_85
    | ~ spl0_112
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1325,f843,f704,f558,f1304]) ).

fof(f843,plain,
    ( spl0_137
  <=> c3_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1325,plain,
    ( c2_1(a797)
    | ~ c0_1(a797)
    | ~ spl0_112
    | ~ spl0_137 ),
    inference(resolution,[],[f705,f845]) ).

fof(f845,plain,
    ( c3_1(a797)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f1341,plain,
    ( spl0_169
    | ~ spl0_65
    | ~ spl0_54
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1335,f704,f409,f461,f1338]) ).

fof(f1335,plain,
    ( ~ c0_1(a730)
    | c2_1(a730)
    | ~ spl0_54
    | ~ spl0_112 ),
    inference(resolution,[],[f705,f411]) ).

fof(f1336,plain,
    ( spl0_111
    | ~ spl0_27
    | ~ spl0_109
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1326,f704,f686,f289,f699]) ).

fof(f699,plain,
    ( spl0_111
  <=> c2_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1326,plain,
    ( ~ c0_1(a793)
    | c2_1(a793)
    | ~ spl0_109
    | ~ spl0_112 ),
    inference(resolution,[],[f705,f688]) ).

fof(f1319,plain,
    ( spl0_153
    | spl0_78
    | ~ spl0_50
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1312,f627,f387,f526,f953]) ).

fof(f1312,plain,
    ( c3_1(a775)
    | c0_1(a775)
    | ~ spl0_50
    | ~ spl0_98 ),
    inference(resolution,[],[f628,f389]) ).

fof(f1317,plain,
    ( spl0_69
    | spl0_127
    | ~ spl0_98
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1315,f900,f627,f785,f483]) ).

fof(f1315,plain,
    ( c0_1(a734)
    | c3_1(a734)
    | ~ spl0_98
    | ~ spl0_147 ),
    inference(resolution,[],[f628,f902]) ).

fof(f1296,plain,
    ( ~ spl0_83
    | ~ spl0_124
    | ~ spl0_92
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1291,f918,f594,f769,f549]) ).

fof(f549,plain,
    ( spl0_83
  <=> c3_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f769,plain,
    ( spl0_124
  <=> c1_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f918,plain,
    ( spl0_149
  <=> c2_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1291,plain,
    ( ~ c1_1(a741)
    | ~ c3_1(a741)
    | ~ spl0_92
    | ~ spl0_149 ),
    inference(resolution,[],[f595,f920]) ).

fof(f920,plain,
    ( c2_1(a741)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f1279,plain,
    ( spl0_122
    | ~ spl0_133
    | ~ spl0_91
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1272,f736,f591,f817,f758]) ).

fof(f591,plain,
    ( spl0_91
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1272,plain,
    ( ~ c3_1(a735)
    | c0_1(a735)
    | ~ spl0_91
    | ~ spl0_118 ),
    inference(resolution,[],[f592,f738]) ).

fof(f592,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f1248,plain,
    ( spl0_150
    | spl0_114
    | ~ spl0_87
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1241,f680,f568,f716,f928]) ).

fof(f1241,plain,
    ( c0_1(a732)
    | c1_1(a732)
    | ~ spl0_87
    | spl0_108 ),
    inference(resolution,[],[f569,f682]) ).

fof(f1247,plain,
    ( spl0_15
    | ~ spl0_70
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1245,f568,f488,f238]) ).

fof(f1245,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_70
    | ~ spl0_87 ),
    inference(duplicate_literal_removal,[],[f1234]) ).

fof(f1234,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1)
        | c1_1(X1) )
    | ~ spl0_70
    | ~ spl0_87 ),
    inference(resolution,[],[f569,f489]) ).

fof(f1201,plain,
    ( spl0_165
    | spl0_106
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1199,f675,f231,f668,f1162]) ).

fof(f1199,plain,
    ( c2_1(a731)
    | c0_1(a731)
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(resolution,[],[f232,f677]) ).

fof(f1181,plain,
    ( spl0_106
    | ~ spl0_144
    | ~ spl0_80
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1176,f675,f534,f885,f668]) ).

fof(f534,plain,
    ( spl0_80
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1176,plain,
    ( ~ c1_1(a731)
    | c2_1(a731)
    | ~ spl0_80
    | ~ spl0_107 ),
    inference(resolution,[],[f535,f677]) ).

fof(f535,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f1180,plain,
    ( ~ spl0_124
    | spl0_149
    | ~ spl0_80
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1172,f549,f534,f918,f769]) ).

fof(f1172,plain,
    ( c2_1(a741)
    | ~ c1_1(a741)
    | ~ spl0_80
    | ~ spl0_83 ),
    inference(resolution,[],[f535,f551]) ).

fof(f551,plain,
    ( c3_1(a741)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f1178,plain,
    ( spl0_117
    | ~ spl0_154
    | ~ spl0_80
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1171,f599,f534,f968,f731]) ).

fof(f731,plain,
    ( spl0_117
  <=> c2_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f968,plain,
    ( spl0_154
  <=> c1_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f599,plain,
    ( spl0_93
  <=> c3_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1171,plain,
    ( ~ c1_1(a746)
    | c2_1(a746)
    | ~ spl0_80
    | ~ spl0_93 ),
    inference(resolution,[],[f535,f601]) ).

fof(f601,plain,
    ( c3_1(a746)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1165,plain,
    ( ~ spl0_165
    | spl0_106
    | ~ spl0_35
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1160,f885,f321,f668,f1162]) ).

fof(f1160,plain,
    ( c2_1(a731)
    | ~ c0_1(a731)
    | ~ spl0_35
    | ~ spl0_144 ),
    inference(resolution,[],[f887,f322]) ).

fof(f1159,plain,
    ( spl0_140
    | ~ spl0_116
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1154,f456,f266,f726,f861]) ).

fof(f861,plain,
    ( spl0_140
  <=> c3_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f726,plain,
    ( spl0_116
  <=> c0_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f456,plain,
    ( spl0_64
  <=> c1_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1154,plain,
    ( ~ c0_1(a798)
    | c3_1(a798)
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(resolution,[],[f267,f458]) ).

fof(f458,plain,
    ( c1_1(a798)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1134,plain,
    ( ~ spl0_124
    | spl0_72
    | ~ spl0_79
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1130,f549,f531,f496,f769]) ).

fof(f496,plain,
    ( spl0_72
  <=> c0_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1130,plain,
    ( c0_1(a741)
    | ~ c1_1(a741)
    | ~ spl0_79
    | ~ spl0_83 ),
    inference(resolution,[],[f532,f551]) ).

fof(f1133,plain,
    ( spl0_48
    | ~ spl0_154
    | ~ spl0_79
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1129,f599,f531,f968,f377]) ).

fof(f377,plain,
    ( spl0_48
  <=> c0_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1129,plain,
    ( ~ c1_1(a746)
    | c0_1(a746)
    | ~ spl0_79
    | ~ spl0_93 ),
    inference(resolution,[],[f532,f601]) ).

fof(f1123,plain,
    ( spl0_122
    | spl0_163
    | ~ spl0_74
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1119,f736,f506,f1073,f758]) ).

fof(f1119,plain,
    ( c1_1(a735)
    | c0_1(a735)
    | ~ spl0_74
    | ~ spl0_118 ),
    inference(resolution,[],[f507,f738]) ).

fof(f1121,plain,
    ( spl0_115
    | spl0_162
    | ~ spl0_74
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1117,f578,f506,f1068,f721]) ).

fof(f578,plain,
    ( spl0_89
  <=> c2_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1117,plain,
    ( c1_1(a777)
    | c0_1(a777)
    | ~ spl0_74
    | ~ spl0_89 ),
    inference(resolution,[],[f507,f580]) ).

fof(f580,plain,
    ( c2_1(a777)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f1114,plain,
    ( spl0_122
    | ~ spl0_163
    | ~ spl0_71
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1110,f736,f492,f1073,f758]) ).

fof(f492,plain,
    ( spl0_71
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1110,plain,
    ( ~ c1_1(a735)
    | c0_1(a735)
    | ~ spl0_71
    | ~ spl0_118 ),
    inference(resolution,[],[f493,f738]) ).

fof(f493,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f1112,plain,
    ( spl0_115
    | ~ spl0_162
    | ~ spl0_71
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1108,f578,f492,f1068,f721]) ).

fof(f1108,plain,
    ( ~ c1_1(a777)
    | c0_1(a777)
    | ~ spl0_71
    | ~ spl0_89 ),
    inference(resolution,[],[f493,f580]) ).

fof(f1086,plain,
    ( spl0_8
    | ~ spl0_65
    | ~ spl0_54
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1084,f414,f409,f461,f208]) ).

fof(f414,plain,
    ( spl0_55
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1084,plain,
    ( ~ c0_1(a730)
    | c1_1(a730)
    | ~ spl0_54
    | ~ spl0_55 ),
    inference(resolution,[],[f415,f411]) ).

fof(f415,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1085,plain,
    ( ~ spl0_27
    | spl0_157
    | ~ spl0_55
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1078,f686,f414,f1007,f289]) ).

fof(f1078,plain,
    ( c1_1(a793)
    | ~ c0_1(a793)
    | ~ spl0_55
    | ~ spl0_109 ),
    inference(resolution,[],[f415,f688]) ).

fof(f1076,plain,
    ( ~ spl0_133
    | spl0_163
    | ~ spl0_43
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1063,f736,f355,f1073,f817]) ).

fof(f1063,plain,
    ( c1_1(a735)
    | ~ c3_1(a735)
    | ~ spl0_43
    | ~ spl0_118 ),
    inference(resolution,[],[f356,f738]) ).

fof(f1038,plain,
    ( spl0_115
    | spl0_125
    | ~ spl0_30
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1037,f578,f301,f774,f721]) ).

fof(f1037,plain,
    ( c3_1(a777)
    | c0_1(a777)
    | ~ spl0_30
    | ~ spl0_89 ),
    inference(resolution,[],[f580,f302]) ).

fof(f999,plain,
    ( ~ spl0_153
    | spl0_31
    | ~ spl0_35
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f990,f387,f321,f305,f953]) ).

fof(f990,plain,
    ( c2_1(a775)
    | ~ c0_1(a775)
    | ~ spl0_35
    | ~ spl0_50 ),
    inference(resolution,[],[f322,f389]) ).

fof(f971,plain,
    ( spl0_48
    | spl0_154
    | ~ spl0_33
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f962,f599,f315,f968,f377]) ).

fof(f962,plain,
    ( c1_1(a746)
    | c0_1(a746)
    | ~ spl0_33
    | ~ spl0_93 ),
    inference(resolution,[],[f316,f601]) ).

fof(f940,plain,
    ( ~ spl0_88
    | ~ spl0_132
    | ~ spl0_17
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f934,f653,f246,f811,f573]) ).

fof(f573,plain,
    ( spl0_88
  <=> c1_1(a750) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f811,plain,
    ( spl0_132
  <=> c0_1(a750) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f653,plain,
    ( spl0_103
  <=> c2_1(a750) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f934,plain,
    ( ~ c0_1(a750)
    | ~ c1_1(a750)
    | ~ spl0_17
    | ~ spl0_103 ),
    inference(resolution,[],[f247,f655]) ).

fof(f655,plain,
    ( c2_1(a750)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f932,plain,
    ( spl0_136
    | spl0_20
    | ~ spl0_15
    | spl0_134 ),
    inference(avatar_split_clause,[],[f925,f826,f238,f257,f838]) ).

fof(f826,plain,
    ( spl0_134
  <=> c3_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f925,plain,
    ( c1_1(a749)
    | c0_1(a749)
    | ~ spl0_15
    | spl0_134 ),
    inference(resolution,[],[f239,f828]) ).

fof(f828,plain,
    ( ~ c3_1(a749)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f931,plain,
    ( spl0_150
    | spl0_114
    | ~ spl0_15
    | spl0_67 ),
    inference(avatar_split_clause,[],[f926,f473,f238,f716,f928]) ).

fof(f926,plain,
    ( c0_1(a732)
    | c1_1(a732)
    | ~ spl0_15
    | spl0_67 ),
    inference(resolution,[],[f239,f475]) ).

fof(f475,plain,
    ( ~ c3_1(a732)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f921,plain,
    ( spl0_149
    | spl0_72
    | ~ spl0_13
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f914,f549,f231,f496,f918]) ).

fof(f914,plain,
    ( c0_1(a741)
    | c2_1(a741)
    | ~ spl0_13
    | ~ spl0_83 ),
    inference(resolution,[],[f232,f551]) ).

fof(f916,plain,
    ( spl0_48
    | spl0_117
    | ~ spl0_13
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f913,f599,f231,f731,f377]) ).

fof(f913,plain,
    ( c2_1(a746)
    | c0_1(a746)
    | ~ spl0_13
    | ~ spl0_93 ),
    inference(resolution,[],[f232,f601]) ).

fof(f911,plain,
    ( ~ spl0_12
    | spl0_73
    | spl0_98
    | spl0_35 ),
    inference(avatar_split_clause,[],[f158,f321,f627,f501,f226]) ).

fof(f226,plain,
    ( spl0_12
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f501,plain,
    ( spl0_73
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | hskp13
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f910,plain,
    ( ~ spl0_12
    | spl0_15
    | spl0_35
    | spl0_29 ),
    inference(avatar_split_clause,[],[f171,f298,f321,f238,f226]) ).

fof(f171,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X1)
      | c3_1(X2)
      | ~ c0_1(X1)
      | c1_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f908,plain,
    ( ~ spl0_82
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f105,f905,f543]) ).

fof(f543,plain,
    ( spl0_82
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f105,axiom,
    ( ~ c2_1(a748)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f903,plain,
    ( spl0_147
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f75,f392,f900]) ).

fof(f392,plain,
    ( spl0_51
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f75,axiom,
    ( ~ hskp4
    | c1_1(a734) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f892,plain,
    ( spl0_19
    | ~ spl0_12
    | spl0_145
    | spl0_80 ),
    inference(avatar_split_clause,[],[f160,f534,f890,f226,f253]) ).

fof(f253,plain,
    ( spl0_19
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp11
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f888,plain,
    ( spl0_144
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f77,f329,f885]) ).

fof(f329,plain,
    ( spl0_37
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f77,axiom,
    ( ~ hskp1
    | c1_1(a731) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f883,plain,
    ( ~ spl0_63
    | spl0_12 ),
    inference(avatar_split_clause,[],[f7,f226,f452]) ).

fof(f452,plain,
    ( spl0_63
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f7,axiom,
    ( ndr1_0
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f881,plain,
    ( ~ spl0_12
    | spl0_80
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f157,f253,f249,f534,f226]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( hskp11
      | c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f880,plain,
    ( ~ spl0_82
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f104,f877,f543]) ).

fof(f104,axiom,
    ( ~ c1_1(a748)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f875,plain,
    ( ~ spl0_142
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f108,f368,f872]) ).

fof(f368,plain,
    ( spl0_46
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f108,axiom,
    ( ~ hskp8
    | ~ c0_1(a744) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f869,plain,
    ( spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f67,f177,f866]) ).

fof(f177,plain,
    ( spl0_1
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f67,axiom,
    ( ~ hskp12
    | c2_1(a755) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f864,plain,
    ( ~ spl0_140
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f83,f452,f861]) ).

fof(f83,axiom,
    ( ~ hskp23
    | ~ c3_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f859,plain,
    ( ~ spl0_12
    | spl0_79
    | spl0_41
    | spl0_14 ),
    inference(avatar_split_clause,[],[f159,f234,f347,f531,f226]) ).

fof(f234,plain,
    ( spl0_14
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( hskp2
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f852,plain,
    ( spl0_138
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f54,f351,f849]) ).

fof(f351,plain,
    ( spl0_42
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f54,axiom,
    ( ~ hskp20
    | c2_1(a779) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f846,plain,
    ( ~ spl0_84
    | spl0_137 ),
    inference(avatar_split_clause,[],[f51,f843,f554]) ).

fof(f554,plain,
    ( spl0_84
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f51,axiom,
    ( c3_1(a797)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f841,plain,
    ( ~ spl0_136
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f100,f253,f838]) ).

fof(f100,axiom,
    ( ~ hskp11
    | ~ c0_1(a749) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f836,plain,
    ( spl0_17
    | spl0_68
    | spl0_70
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f173,f226,f488,f478,f246]) ).

fof(f173,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X2)
      | c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X2)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f835,plain,
    ( spl0_135
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f45,f446,f832]) ).

fof(f446,plain,
    ( spl0_62
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f45,axiom,
    ( ~ hskp25
    | c0_1(a729) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f829,plain,
    ( ~ spl0_134
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f102,f253,f826]) ).

fof(f102,axiom,
    ( ~ hskp11
    | ~ c3_1(a749) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f824,plain,
    ( ~ spl0_12
    | spl0_21
    | spl0_80
    | spl0_70 ),
    inference(avatar_split_clause,[],[f162,f488,f534,f262,f226]) ).

fof(f262,plain,
    ( spl0_21
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ c3_1(X0)
      | c2_1(X0)
      | hskp18
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f820,plain,
    ( ~ spl0_11
    | spl0_133 ),
    inference(avatar_split_clause,[],[f74,f817,f222]) ).

fof(f222,plain,
    ( spl0_11
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f74,axiom,
    ( c3_1(a735)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f815,plain,
    ( ~ spl0_52
    | spl0_12 ),
    inference(avatar_split_clause,[],[f23,f226,f396]) ).

fof(f396,plain,
    ( spl0_52
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f23,axiom,
    ( ndr1_0
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f814,plain,
    ( ~ spl0_16
    | spl0_132 ),
    inference(avatar_split_clause,[],[f39,f811,f242]) ).

fof(f242,plain,
    ( spl0_16
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f39,axiom,
    ( c0_1(a750)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f809,plain,
    ( ~ spl0_12
    | spl0_36
    | spl0_28 ),
    inference(avatar_split_clause,[],[f143,f293,f326,f226]) ).

fof(f293,plain,
    ( spl0_28
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f143,axiom,
    ! [X0] :
      ( hskp21
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f808,plain,
    ( ~ spl0_73
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f98,f805,f501]) ).

fof(f98,axiom,
    ( ~ c1_1(a759)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f803,plain,
    ( ~ spl0_130
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f84,f554,f800]) ).

fof(f84,axiom,
    ( ~ hskp22
    | ~ c1_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f798,plain,
    ( ~ spl0_73
    | spl0_129 ),
    inference(avatar_split_clause,[],[f64,f795,f501]) ).

fof(f64,axiom,
    ( c2_1(a759)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f793,plain,
    ( ~ spl0_46
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f109,f790,f368]) ).

fof(f109,axiom,
    ( ~ c1_1(a744)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f788,plain,
    ( ~ spl0_51
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f114,f785,f392]) ).

fof(f114,axiom,
    ( ~ c0_1(a734)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f782,plain,
    ( spl0_126
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f57,f432,f779]) ).

fof(f432,plain,
    ( spl0_59
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f57,axiom,
    ( ~ hskp17
    | c1_1(a766) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f777,plain,
    ( ~ spl0_125
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f90,f284,f774]) ).

fof(f284,plain,
    ( spl0_26
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f90,axiom,
    ( ~ hskp19
    | ~ c3_1(a777) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f772,plain,
    ( spl0_124
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f70,f396,f769]) ).

fof(f70,axiom,
    ( ~ hskp7
    | c1_1(a741) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f767,plain,
    ( spl0_123
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f72,f279,f764]) ).

fof(f279,plain,
    ( spl0_25
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f72,axiom,
    ( ~ hskp6
    | c1_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f762,plain,
    ( spl0_46
    | spl0_7 ),
    inference(avatar_split_clause,[],[f1,f204,f368]) ).

fof(f204,plain,
    ( spl0_7
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1,axiom,
    ( hskp0
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f761,plain,
    ( ~ spl0_11
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f113,f758,f222]) ).

fof(f113,axiom,
    ( ~ c0_1(a735)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f755,plain,
    ( ~ spl0_59
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f93,f752,f432]) ).

fof(f93,axiom,
    ( ~ c0_1(a766)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f749,plain,
    ( ~ spl0_62
    | spl0_120 ),
    inference(avatar_split_clause,[],[f47,f746,f446]) ).

fof(f47,axiom,
    ( c3_1(a729)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f744,plain,
    ( spl0_119
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f65,f501,f741]) ).

fof(f65,axiom,
    ( ~ hskp13
    | c3_1(a759) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f739,plain,
    ( ~ spl0_11
    | spl0_118 ),
    inference(avatar_split_clause,[],[f73,f736,f222]) ).

fof(f73,axiom,
    ( c2_1(a735)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f734,plain,
    ( ~ spl0_47
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f107,f731,f373]) ).

fof(f373,plain,
    ( spl0_47
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f107,axiom,
    ( ~ c2_1(a746)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f729,plain,
    ( spl0_116
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f49,f452,f726]) ).

fof(f49,axiom,
    ( ~ hskp23
    | c0_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f724,plain,
    ( ~ spl0_115
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f89,f284,f721]) ).

fof(f89,axiom,
    ( ~ hskp19
    | ~ c0_1(a777) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f719,plain,
    ( ~ spl0_14
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f118,f716,f234]) ).

fof(f118,axiom,
    ( ~ c0_1(a732)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f714,plain,
    ( spl0_11
    | ~ spl0_12
    | spl0_47
    | spl0_113 ),
    inference(avatar_split_clause,[],[f125,f709,f373,f226,f222]) ).

fof(f125,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp9
      | ~ ndr1_0
      | c0_1(X0)
      | hskp5
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f713,plain,
    ( spl0_26
    | spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f34,f204,f222,f284]) ).

fof(f34,axiom,
    ( hskp0
    | hskp5
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f707,plain,
    ( ~ spl0_12
    | spl0_87
    | spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f168,f301,f246,f568,f226]) ).

fof(f168,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f706,plain,
    ( spl0_43
    | spl0_91
    | ~ spl0_12
    | spl0_112 ),
    inference(avatar_split_clause,[],[f175,f704,f226,f591,f355]) ).

fof(f175,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f702,plain,
    ( ~ spl0_111
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f86,f293,f699]) ).

fof(f86,axiom,
    ( ~ hskp21
    | ~ c2_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f697,plain,
    ( spl0_51
    | ~ spl0_12
    | spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f124,f238,f222,f226,f392]) ).

fof(f124,axiom,
    ! [X0] :
      ( c1_1(X0)
      | c0_1(X0)
      | hskp5
      | ~ ndr1_0
      | c3_1(X0)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f691,plain,
    ( ~ spl0_12
    | spl0_1
    | spl0_13
    | spl0_52 ),
    inference(avatar_split_clause,[],[f131,f396,f231,f177,f226]) ).

fof(f131,axiom,
    ! [X0] :
      ( hskp7
      | ~ c3_1(X0)
      | hskp12
      | c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f690,plain,
    ( spl0_62
    | spl0_55
    | ~ spl0_12
    | spl0_87 ),
    inference(avatar_split_clause,[],[f149,f568,f226,f414,f446]) ).

fof(f149,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f689,plain,
    ( spl0_109
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f53,f293,f686]) ).

fof(f53,axiom,
    ( ~ hskp21
    | c3_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f683,plain,
    ( ~ spl0_14
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f119,f680,f234]) ).

fof(f119,axiom,
    ( ~ c2_1(a732)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f678,plain,
    ( ~ spl0_37
    | spl0_107 ),
    inference(avatar_split_clause,[],[f78,f675,f329]) ).

fof(f78,axiom,
    ( c3_1(a731)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f673,plain,
    ( spl0_14
    | spl0_37
    | ~ spl0_12
    | spl0_74 ),
    inference(avatar_split_clause,[],[f128,f506,f226,f329,f234]) ).

fof(f128,axiom,
    ! [X0] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f672,plain,
    ( spl0_7
    | spl0_47
    | ~ spl0_12
    | spl0_98 ),
    inference(avatar_split_clause,[],[f133,f627,f226,f373,f204]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp9
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f671,plain,
    ( ~ spl0_37
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f121,f668,f329]) ).

fof(f121,axiom,
    ( ~ c2_1(a731)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f657,plain,
    ( spl0_59
    | spl0_28
    | spl0_63 ),
    inference(avatar_split_clause,[],[f31,f452,f293,f432]) ).

fof(f31,axiom,
    ( hskp23
    | hskp21
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f656,plain,
    ( spl0_103
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f41,f242,f653]) ).

fof(f41,axiom,
    ( ~ hskp27
    | c2_1(a750) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f650,plain,
    ( ~ spl0_23
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f82,f647,f270]) ).

fof(f270,plain,
    ( spl0_23
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f82,axiom,
    ( ~ c3_1(a802)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f644,plain,
    ( ~ spl0_5
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f95,f641,f195]) ).

fof(f195,plain,
    ( spl0_5
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f95,axiom,
    ( ~ c2_1(a763)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f639,plain,
    ( ~ spl0_100
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f87,f351,f636]) ).

fof(f87,axiom,
    ( ~ hskp20
    | ~ c1_1(a779) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f634,plain,
    ( ~ spl0_99
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f88,f351,f631]) ).

fof(f88,axiom,
    ( ~ hskp20
    | ~ c3_1(a779) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f629,plain,
    ( spl0_11
    | spl0_98
    | ~ spl0_12
    | spl0_18 ),
    inference(avatar_split_clause,[],[f152,f249,f226,f627,f222]) ).

fof(f152,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f609,plain,
    ( ~ spl0_12
    | spl0_18
    | spl0_82
    | spl0_91 ),
    inference(avatar_split_clause,[],[f156,f591,f543,f249,f226]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | hskp10
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f607,plain,
    ( ~ spl0_32
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f94,f604,f310]) ).

fof(f310,plain,
    ( spl0_32
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f94,axiom,
    ( ~ c3_1(a764)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f602,plain,
    ( spl0_93
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f68,f373,f599]) ).

fof(f68,axiom,
    ( ~ hskp9
    | c3_1(a746) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f597,plain,
    ( ~ spl0_12
    | spl0_84
    | spl0_32
    | spl0_92 ),
    inference(avatar_split_clause,[],[f145,f594,f310,f554,f226]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp16
      | ~ c1_1(X0)
      | hskp22
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f596,plain,
    ( spl0_91
    | spl0_92
    | spl0_13
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f174,f226,f231,f594,f591]) ).

fof(f174,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | c0_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | c2_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f589,plain,
    ( ~ spl0_90
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f81,f270,f586]) ).

fof(f81,axiom,
    ( ~ hskp24
    | ~ c2_1(a802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f584,plain,
    ( spl0_11
    | spl0_71
    | spl0_33
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f154,f226,f315,f492,f222]) ).

fof(f154,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | hskp5
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f581,plain,
    ( ~ spl0_26
    | spl0_89 ),
    inference(avatar_split_clause,[],[f55,f578,f284]) ).

fof(f55,axiom,
    ( c2_1(a777)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f576,plain,
    ( ~ spl0_16
    | spl0_88 ),
    inference(avatar_split_clause,[],[f40,f573,f242]) ).

fof(f40,axiom,
    ( c1_1(a750)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f570,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_37
    | spl0_87 ),
    inference(avatar_split_clause,[],[f123,f568,f329,f226,f204]) ).

fof(f123,axiom,
    ! [X0] :
      ( c2_1(X0)
      | c1_1(X0)
      | hskp1
      | ~ ndr1_0
      | c0_1(X0)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f566,plain,
    ( ~ spl0_1
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f99,f563,f177]) ).

fof(f99,axiom,
    ( ~ c3_1(a755)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f561,plain,
    ( ~ spl0_84
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f85,f558,f554]) ).

fof(f85,axiom,
    ( ~ c2_1(a797)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f552,plain,
    ( spl0_83
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f71,f396,f549]) ).

fof(f71,axiom,
    ( ~ hskp7
    | c3_1(a741) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f546,plain,
    ( ~ spl0_81
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f103,f543,f539]) ).

fof(f103,axiom,
    ( ~ hskp10
    | ~ c0_1(a748) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f537,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_74
    | spl0_18 ),
    inference(avatar_split_clause,[],[f150,f249,f506,f226,f204]) ).

fof(f150,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f536,plain,
    ( ~ spl0_12
    | spl0_13
    | spl0_79
    | spl0_80 ),
    inference(avatar_split_clause,[],[f172,f534,f531,f231,f226]) ).

fof(f172,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c1_1(X1)
      | c2_1(X2)
      | ~ c3_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f529,plain,
    ( ~ spl0_21
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f92,f526,f262]) ).

fof(f92,axiom,
    ( ~ c3_1(a775)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f519,plain,
    ( ~ spl0_32
    | spl0_76 ),
    inference(avatar_split_clause,[],[f59,f516,f310]) ).

fof(f59,axiom,
    ( c0_1(a764)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f514,plain,
    ( spl0_75
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f58,f432,f511]) ).

fof(f58,axiom,
    ( ~ hskp17
    | c2_1(a766) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f509,plain,
    ( spl0_63
    | spl0_73
    | spl0_23 ),
    inference(avatar_split_clause,[],[f32,f270,f501,f452]) ).

fof(f32,axiom,
    ( hskp24
    | hskp13
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f504,plain,
    ( spl0_12
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f17,f501,f226]) ).

fof(f17,axiom,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

fof(f499,plain,
    ( ~ spl0_72
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f110,f396,f496]) ).

fof(f110,axiom,
    ( ~ hskp7
    | ~ c0_1(a741) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f494,plain,
    ( ~ spl0_12
    | spl0_36
    | spl0_32
    | spl0_71 ),
    inference(avatar_split_clause,[],[f166,f492,f310,f326,f226]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | hskp16
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f490,plain,
    ( spl0_11
    | spl0_70
    | ~ spl0_12
    | spl0_55 ),
    inference(avatar_split_clause,[],[f161,f414,f226,f488,f222]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X0)
      | hskp5
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f486,plain,
    ( ~ spl0_69
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f115,f392,f483]) ).

fof(f115,axiom,
    ( ~ hskp4
    | ~ c3_1(a734) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f480,plain,
    ( spl0_62
    | spl0_47
    | ~ spl0_12
    | spl0_68 ),
    inference(avatar_split_clause,[],[f135,f478,f226,f373,f446]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp9
      | c2_1(X0)
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f476,plain,
    ( ~ spl0_67
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f120,f234,f473]) ).

fof(f120,axiom,
    ( ~ hskp2
    | ~ c3_1(a732) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f471,plain,
    ( ~ spl0_62
    | spl0_66 ),
    inference(avatar_split_clause,[],[f46,f468,f446]) ).

fof(f46,axiom,
    ( c2_1(a729)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f464,plain,
    ( ~ spl0_7
    | spl0_65 ),
    inference(avatar_split_clause,[],[f79,f461,f204]) ).

fof(f79,axiom,
    ( c0_1(a730)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f459,plain,
    ( ~ spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f50,f456,f452]) ).

fof(f50,axiom,
    ( c1_1(a798)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f450,plain,
    ( ~ spl0_12
    | spl0_16
    | spl0_19
    | spl0_13 ),
    inference(avatar_split_clause,[],[f129,f231,f253,f242,f226]) ).

fof(f129,axiom,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | hskp11
      | hskp27
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f449,plain,
    ( spl0_25
    | ~ spl0_12
    | spl0_13
    | spl0_62 ),
    inference(avatar_split_clause,[],[f130,f446,f231,f226,f279]) ).

fof(f130,axiom,
    ! [X0] :
      ( hskp25
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f439,plain,
    ( ~ spl0_12
    | spl0_51
    | spl0_60
    | spl0_33 ),
    inference(avatar_split_clause,[],[f155,f315,f437,f392,f226]) ).

fof(f155,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1)
      | hskp4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f412,plain,
    ( spl0_54
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f80,f204,f409]) ).

fof(f80,axiom,
    ( ~ hskp0
    | c3_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f406,plain,
    ( ~ spl0_25
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f112,f403,f279]) ).

fof(f112,axiom,
    ( ~ c2_1(a738)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f401,plain,
    ( spl0_30
    | spl0_52
    | ~ spl0_12
    | spl0_33 ),
    inference(avatar_split_clause,[],[f151,f315,f226,f396,f301]) ).

fof(f151,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ ndr1_0
      | hskp7
      | c0_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f399,plain,
    ( spl0_51
    | spl0_52
    | spl0_37 ),
    inference(avatar_split_clause,[],[f35,f329,f396,f392]) ).

fof(f35,axiom,
    ( hskp1
    | hskp7
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f390,plain,
    ( ~ spl0_21
    | spl0_50 ),
    inference(avatar_split_clause,[],[f56,f387,f262]) ).

fof(f56,axiom,
    ( c1_1(a775)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f385,plain,
    ( ~ spl0_5
    | spl0_49 ),
    inference(avatar_split_clause,[],[f62,f382,f195]) ).

fof(f62,axiom,
    ( c1_1(a763)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f380,plain,
    ( ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f106,f377,f373]) ).

fof(f106,axiom,
    ( ~ c0_1(a746)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f371,plain,
    ( spl0_45
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f69,f368,f364]) ).

fof(f69,axiom,
    ( ~ hskp8
    | c3_1(a744) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f362,plain,
    ( ~ spl0_23
    | spl0_44 ),
    inference(avatar_split_clause,[],[f48,f359,f270]) ).

fof(f48,axiom,
    ( c0_1(a802)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f357,plain,
    ( spl0_42
    | spl0_11
    | ~ spl0_12
    | spl0_43 ),
    inference(avatar_split_clause,[],[f140,f355,f226,f222,f351]) ).

fof(f140,axiom,
    ! [X0] :
      ( c1_1(X0)
      | ~ ndr1_0
      | hskp5
      | hskp20
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f341,plain,
    ( ~ spl0_32
    | spl0_39 ),
    inference(avatar_split_clause,[],[f60,f338,f310]) ).

fof(f60,axiom,
    ( c2_1(a764)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f332,plain,
    ( ~ spl0_12
    | spl0_22
    | spl0_36
    | spl0_37 ),
    inference(avatar_split_clause,[],[f167,f329,f326,f266,f226]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( hskp1
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f308,plain,
    ( ~ spl0_21
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f91,f305,f262]) ).

fof(f91,axiom,
    ( ~ c2_1(a775)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f303,plain,
    ( ~ spl0_12
    | spl0_5
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f164,f301,f298,f195,f226]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c1_1(X0)
      | hskp15
      | ~ c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f296,plain,
    ( spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f52,f293,f289]) ).

fof(f52,axiom,
    ( ~ hskp21
    | c0_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f282,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f111,f279,f275]) ).

fof(f111,axiom,
    ( ~ hskp6
    | ~ c0_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f273,plain,
    ( ~ spl0_23
    | spl0_12 ),
    inference(avatar_split_clause,[],[f6,f226,f270]) ).

fof(f6,axiom,
    ( ndr1_0
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f268,plain,
    ( spl0_21
    | spl0_19
    | spl0_22
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f141,f226,f266,f253,f262]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c3_1(X0)
      | hskp11
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f260,plain,
    ( ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f101,f257,f253]) ).

fof(f101,axiom,
    ( ~ c1_1(a749)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f240,plain,
    ( ~ spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f146,f238,f234,f231,f226]) ).

fof(f146,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c0_1(X1)
      | hskp2
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f211,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f122,f208,f204]) ).

fof(f122,axiom,
    ( ~ c1_1(a730)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f202,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f61,f199,f195]) ).

fof(f61,axiom,
    ( c0_1(a763)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f184,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f66,f181,f177]) ).

fof(f66,axiom,
    ( c1_1(a755)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN451-1 : TPTP v8.1.0. Released v2.1.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:56:03 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (9098)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53  % (9109)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.54  % (9117)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.53/0.56  % (9108)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.53/0.56  % (9108)Instruction limit reached!
% 1.53/0.56  % (9108)------------------------------
% 1.53/0.56  % (9108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56  % (9108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (9108)Termination reason: Unknown
% 1.53/0.56  % (9108)Termination phase: Saturation
% 1.53/0.56  
% 1.53/0.56  % (9108)Memory used [KB]: 6012
% 1.53/0.56  % (9108)Time elapsed: 0.004 s
% 1.53/0.56  % (9108)Instructions burned: 3 (million)
% 1.53/0.56  % (9108)------------------------------
% 1.53/0.56  % (9108)------------------------------
% 1.53/0.56  % (9101)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.53/0.57  % (9116)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.75/0.58  % (9098)Instruction limit reached!
% 1.75/0.58  % (9098)------------------------------
% 1.75/0.58  % (9098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58  % (9098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (9098)Termination reason: Unknown
% 1.75/0.58  % (9098)Termination phase: Saturation
% 1.75/0.58  
% 1.75/0.58  % (9098)Memory used [KB]: 7036
% 1.75/0.58  % (9098)Time elapsed: 0.178 s
% 1.75/0.58  % (9098)Instructions burned: 44 (million)
% 1.75/0.58  % (9098)------------------------------
% 1.75/0.58  % (9098)------------------------------
% 1.75/0.59  % (9109)Instruction limit reached!
% 1.75/0.59  % (9109)------------------------------
% 1.75/0.59  % (9109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (9109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (9109)Termination reason: Unknown
% 1.75/0.59  % (9109)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (9109)Memory used [KB]: 1663
% 1.75/0.59  % (9109)Time elapsed: 0.170 s
% 1.75/0.59  % (9109)Instructions burned: 29 (million)
% 1.75/0.59  % (9109)------------------------------
% 1.75/0.59  % (9109)------------------------------
% 1.75/0.59  % (9096)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.75/0.59  % (9118)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.75/0.60  % (9107)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.75/0.60  % (9107)Instruction limit reached!
% 1.75/0.60  % (9107)------------------------------
% 1.75/0.60  % (9107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (9107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60  % (9107)Termination reason: Unknown
% 1.75/0.60  % (9107)Termination phase: Saturation
% 1.75/0.60  
% 1.75/0.60  % (9107)Memory used [KB]: 6268
% 1.75/0.60  % (9107)Time elapsed: 0.005 s
% 1.75/0.60  % (9107)Instructions burned: 5 (million)
% 1.75/0.60  % (9107)------------------------------
% 1.75/0.60  % (9107)------------------------------
% 1.75/0.60  % (9115)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.75/0.60  % (9114)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.75/0.61  % (9114)Instruction limit reached!
% 1.75/0.61  % (9114)------------------------------
% 1.75/0.61  % (9114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61  % (9114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61  % (9114)Termination reason: Unknown
% 1.75/0.61  % (9114)Termination phase: Saturation
% 1.75/0.61  
% 1.75/0.61  % (9114)Memory used [KB]: 6396
% 1.75/0.61  % (9114)Time elapsed: 0.133 s
% 1.75/0.61  % (9114)Instructions burned: 7 (million)
% 1.75/0.61  % (9114)------------------------------
% 1.75/0.61  % (9114)------------------------------
% 1.75/0.61  % (9115)Instruction limit reached!
% 1.75/0.61  % (9115)------------------------------
% 1.75/0.61  % (9115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61  % (9100)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.75/0.61  % (9102)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.61  % (9104)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.62  % (9095)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.75/0.62  % (9099)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.75/0.62  % (9121)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.75/0.62  % (9115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.62  % (9115)Termination reason: Unknown
% 1.75/0.62  % (9115)Termination phase: Saturation
% 1.75/0.62  
% 1.75/0.62  % (9115)Memory used [KB]: 1535
% 1.75/0.62  % (9115)Time elapsed: 0.007 s
% 1.75/0.62  % (9115)Instructions burned: 6 (million)
% 1.75/0.62  % (9115)------------------------------
% 1.75/0.62  % (9115)------------------------------
% 1.75/0.63  % (9123)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.75/0.63  % (9111)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.75/0.63  % (9111)Instruction limit reached!
% 1.75/0.63  % (9111)------------------------------
% 1.75/0.63  % (9111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.63  % (9103)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.75/0.63  % (9111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.63  % (9111)Termination reason: Unknown
% 1.75/0.63  % (9111)Termination phase: Saturation
% 1.75/0.63  
% 1.75/0.63  % (9111)Memory used [KB]: 1535
% 1.75/0.63  % (9111)Time elapsed: 0.003 s
% 1.75/0.63  % (9111)Instructions burned: 2 (million)
% 1.75/0.63  % (9111)------------------------------
% 1.75/0.63  % (9111)------------------------------
% 1.75/0.64  % (9120)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.75/0.64  % (9112)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.75/0.64  % (9101)Instruction limit reached!
% 1.75/0.64  % (9101)------------------------------
% 1.75/0.64  % (9101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.64  % (9124)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.22/0.65  % (9122)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 2.22/0.65  % (9103)Instruction limit reached!
% 2.22/0.65  % (9103)------------------------------
% 2.22/0.65  % (9103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65  % (9103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.65  % (9103)Termination reason: Unknown
% 2.22/0.65  % (9103)Termination phase: Saturation
% 2.22/0.65  
% 2.22/0.65  % (9103)Memory used [KB]: 6140
% 2.22/0.65  % (9103)Time elapsed: 0.006 s
% 2.22/0.65  % (9103)Instructions burned: 4 (million)
% 2.22/0.65  % (9103)------------------------------
% 2.22/0.65  % (9103)------------------------------
% 2.22/0.65  % (9096)Instruction limit reached!
% 2.22/0.65  % (9096)------------------------------
% 2.22/0.65  % (9096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65  % (9113)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 2.22/0.65  % (9097)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 2.22/0.66  % (9106)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 2.22/0.66  % (9097)Instruction limit reached!
% 2.22/0.66  % (9097)------------------------------
% 2.22/0.66  % (9097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  % (9097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (9097)Termination reason: Unknown
% 2.22/0.66  % (9097)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (9097)Memory used [KB]: 6012
% 2.22/0.66  % (9097)Time elapsed: 0.006 s
% 2.22/0.66  % (9097)Instructions burned: 4 (million)
% 2.22/0.66  % (9097)------------------------------
% 2.22/0.66  % (9097)------------------------------
% 2.22/0.66  % (9101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (9101)Termination reason: Unknown
% 2.22/0.66  % (9101)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (9101)Memory used [KB]: 1663
% 2.22/0.66  % (9101)Time elapsed: 0.201 s
% 2.22/0.66  % (9101)Instructions burned: 49 (million)
% 2.22/0.66  % (9101)------------------------------
% 2.22/0.66  % (9101)------------------------------
% 2.22/0.66  % (9116)First to succeed.
% 2.22/0.67  % (9112)Instruction limit reached!
% 2.22/0.67  % (9112)------------------------------
% 2.22/0.67  % (9112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.67  % (9112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.67  % (9112)Termination reason: Unknown
% 2.22/0.67  % (9112)Termination phase: Saturation
% 2.22/0.67  
% 2.22/0.67  % (9112)Memory used [KB]: 6396
% 2.22/0.67  % (9112)Time elapsed: 0.238 s
% 2.22/0.67  % (9112)Instructions burned: 8 (million)
% 2.22/0.67  % (9112)------------------------------
% 2.22/0.67  % (9112)------------------------------
% 2.34/0.67  % (9119)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 2.34/0.68  % (9096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68  % (9096)Termination reason: Unknown
% 2.34/0.68  % (9096)Termination phase: Saturation
% 2.34/0.68  
% 2.34/0.68  % (9096)Memory used [KB]: 1791
% 2.34/0.68  % (9096)Time elapsed: 0.229 s
% 2.34/0.68  % (9096)Instructions burned: 42 (million)
% 2.34/0.68  % (9096)------------------------------
% 2.34/0.68  % (9096)------------------------------
% 2.34/0.68  % (9123)Instruction limit reached!
% 2.34/0.68  % (9123)------------------------------
% 2.34/0.68  % (9123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.68  % (9123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68  % (9123)Termination reason: Unknown
% 2.34/0.68  % (9123)Termination phase: Saturation
% 2.34/0.68  
% 2.34/0.68  % (9123)Memory used [KB]: 6652
% 2.34/0.68  % (9123)Time elapsed: 0.241 s
% 2.34/0.68  % (9123)Instructions burned: 20 (million)
% 2.34/0.68  % (9123)------------------------------
% 2.34/0.68  % (9123)------------------------------
% 2.34/0.69  % (9110)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 2.34/0.69  % (9116)Refutation found. Thanks to Tanya!
% 2.34/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.34/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.69  % (9116)------------------------------
% 2.34/0.69  % (9116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69  % (9116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69  % (9116)Termination reason: Refutation
% 2.34/0.69  
% 2.34/0.69  % (9116)Memory used [KB]: 7164
% 2.34/0.69  % (9116)Time elapsed: 0.245 s
% 2.34/0.69  % (9116)Instructions burned: 45 (million)
% 2.34/0.69  % (9116)------------------------------
% 2.34/0.69  % (9116)------------------------------
% 2.34/0.69  % (9094)Success in time 0.332 s
%------------------------------------------------------------------------------